Filtered overlap: speedup, locality, kernel non-normality and Z_A~1

Details Filtered overlap: speedup, locality, kernel non-normality and Z_A~1 Filtered overlap: speedup, locality, kernel non-normality and Z_A~1

2005-06-28

arxiv.org/abs/hep-lat/0506027v1

JHEP0509:030,2005

Physics

High Energy Physics

High Energy Physics - Lattice

30 pp, 23 figs

Scientific paper

10.1088/1126-6708/2005/09/030

We investigate the overlap operator with a UV filtered Wilson kernel. The filtering leads to a better localization of the operator even on coarse lattices and with the untuned choice $\rho=1$. Furthermore, the axial-vector renormalization constant $Z_A$ is much closer to 1, reducing the mismatch with perturbation theory. We show that all these features persist over a wide range of couplings and that the details of filtering prove immaterial. We investigate the properties of the kernel spectrum and find that the kernel non-normality is reduced. As a side effect we observe that for certain applications of the filtered overlap a speed-up factor of 2-4 can be achieved.

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